# Activity

• begin{align*}& I(a, b) = int_0^infty dfrac{x^a}{x^b+1} dx =dfrac{beta(dfrac{a+1}{b}, 1-dfrac{a+1}{b})}{b} & &{rm{Proof}}: & &therefore u=x^b Longrightarrow int_0^infty […]

• begin{align*}& I(b) = int_0^infty dfrac{e^{-x}-e^{-bx}}{x} dx = ln{(b)}& &{rm{Proof}}: & &I'(b) = int_0^infty e^{-bx} dx = dfrac{1}{b} & &therefore I(b) = ln{(b)} + C & &therefore b=1 […]

• BPRP solved this integral using power series back in 2017. Today I will solve it using the Bose Integral.

begin{align*}& int_0^1 dfrac{ln{(x)}}{x-1} dx = dfrac{pi^2}{6} & &Proof: & &therefore u= […]

• I want to note that I believe my argument does need some more work, and the finalized version of my argument will be available in both the Hermeneutic Pragmatism PDF I spoke of in my prelude article as well as […]

• Hey y’all! Sorry I’ve been less than usual in my site’s upkeep. Military and college got in the way.

Anyways, this post is simply to give the prelude to a series of posts that will concern my philosophy: […]

• He replied saying he had no intention to do so. He simply just wanted to get out his thoughts. I find this rather stupid to do on a topic like this but oh well it’s his choice.

• Hello I actually did deduce that problem you spoke of. I should’ve noted that your SPD used the RF specifically. My fault! Anyways I did find that problem you spoke of. IMO it’s not very deep math, it’s just that […]

• • Many people wish to approximate their strength level through certain exercises. These exercises include the OG bench press, squat, and so on and so forth. Fitness experts over the years have created an assortment […]

• In the U.S. Army we run the 2mi and I’ve been interested in estimating times for this off others, just like how I try to estimate 100m, 200m, and 400m times. It took me a long while to find out the majority of […] begin{align*} &f(x) = dfrac{1}{1+x^2}end{align*}

Integrating with respect to x from 0 to 1 yields 0.25π. What makes this a guided approach is that this integration range can be […] • begin{align*}& {rm{Given}}:int_0^infty f(x) dx & &(1) : rm{Queen : Property} & &therefore u=(x)^{-1} Longrightarrowint_0^infty f[(x)^{-1}] (x)^{-2} dx & &(2) : rm{Jacksonian : Property} […]

• I recently discovered the Fat Free Mass Index a couple of days ago. I actually have to thank the YouTube Algorithm for suggesting another video series by Vitruvian Physique on distinguishing whether or not […]

• I’ve long wondered this question so I thought I’d do some research based on past experiences and information given from various fitness outlets. I stumbled upon a good video by Vitruvian Physique that you can see […]

• begin{align*}& int_0^infty dfrac{1}{(1+x^g)^n} dx =int_0^infty dfrac{(x)^{gn-2}}{(1+x^g)^n} dx & &therefore x^g = t : , : x = t^{frac{1}{g}} Longrightarrowdx = dfrac{t^{frac{1}{g}-1}}{g} dt & […]

• begin{align*}& int_0^{infty} dfrac{1}{(1+x^2)^n} dx & & &{rm{Lemma : (1)}}: int_0^{infty} left[ f(x) right] dx = int_0^{infty} left[ dfrac{f(frac{1}{x})}{(x^2)} right] dx & &{rm{Lemma […]

• 16 April 2019 Formula (19/718 sampled)

begin{align*}rm{200m} &approx rm{100m} left[ 1.997383 + left( dfrac{7.633557}{rm{60m}} right) right] – 11.1841 pm 0.3 & approxrm{100m} left[ 2 + […]

• Context

I was reading through one of the various eBooks by James Gray (How to Become a Philosopher) and I wanted to see if he had written anything on Philosophy in relation to school requirements. It turns out […]

• Let me start off by saying I actually have to thank someone I formerly worked with, Kelly Hernandez. We got into a discussion about UBI, the poor, etc. and from our conversation I discovered this amazing idea. […]

• begin{align*}I = displaystyle int_alpha^betadfrac{a(x)^n+b}{cx+d} : dx &=displaystyle dfrac{a}{c} int_alpha^betadfrac{(x)^n+ frac{b}{a}}{x+frac{d}{c}} : dx &=displaystyle dfrac{a}{c} […]